-5y(y+1)(y+5)=

Solution for -5y(y+1)(y+5)= equation:

Simplifying
-5y(y + 1)(y + 5) = 0

Reorder the terms:
-5y(1 + y)(y + 5) = 0

Reorder the terms:
-5y(1 + y)(5 + y) = 0

Multiply (1 + y) * (5 + y)
-5y(1(5 + y) + y(5 + y)) = 0
-5y((5 * 1 + y * 1) + y(5 + y)) = 0
-5y((5 + 1y) + y(5 + y)) = 0
-5y(5 + 1y + (5 * y + y * y)) = 0
-5y(5 + 1y + (5y + y2)) = 0

Combine like terms: 1y + 5y = 6y
-5y(5 + 6y + y2) = 0
(5 * -5y + 6y * -5y + y2 * -5y) = 0
(-25y + -30y2 + -5y3) = 0

Solving
-25y + -30y2 + -5y3 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '-5y'.
-5y(5 + 6y + y2) = 0

Factor a trinomial.
-5y((5 + y)(1 + y)) = 0

Ignore the factor -5.
Subproblem 1
Set the factor 'y' equal to zero and attempt to solve:

Simplifying
y = 0

Solving
y = 0

Move all terms containing y to the left, all other terms to the right.

Simplifying
y = 0
Subproblem 2
Set the factor '(5 + y)' equal to zero and attempt to solve:

Simplifying
5 + y = 0

Solving
5 + y = 0

Move all terms containing y to the left, all other terms to the right.

Add '-5' to each side of the equation.
5 + -5 + y = 0 + -5

Combine like terms: 5 + -5 = 0
0 + y = 0 + -5
y = 0 + -5

Combine like terms: 0 + -5 = -5
y = -5

Simplifying
y = -5
Subproblem 3
Set the factor '(1 + y)' equal to zero and attempt to solve:

Simplifying
1 + y = 0

Solving
1 + y = 0

Move all terms containing y to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + y = 0 + -1
y = 0 + -1

Combine like terms: 0 + -1 = -1
y = -1

Simplifying
y = -1
Solution
y = {0, -5, -1}